Finite-size scaling tests for SU(3) lattice gauge theory with color sextet fermions

TL;DR

This paper investigates the finite-size scaling behavior of SU(3) lattice gauge theory with color sextet fermions, providing evidence for algebraic decay of correlation functions and estimating the scaling exponent.

Contribution

It introduces a finite-size scaling analysis for this theory and finds a consistent scaling exponent, supporting the hypothesis of a single relevant coupling and algebraic decay.

Findings

Scaling exponent y_m ~ 1.5 for correlation length

Consistent eigenvalue scaling results

Supports algebraic decay hypothesis

Abstract

The observed slow running of the gauge coupling in SU(3) lattice gauge theory with two flavors of color sextet fermions naturally suggests it is a theory with one relevant coupling, the fermion mass, and that at zero mass correlation functions decay algebraically. I perform a finite-size scaling study on simulation data at two values of the bare gauge coupling with this assumption and observe a common exponent for the scaling of the correlation length with the fermion mass, y_m ~ 1.5. An analysis of the scaling of valence Dirac eigenvalues at one of these bare couplings produces a similar number.